A higher-dimensional Contou-Carrère symbol: local theory

@article{Gorchinskiy2015AHC,
  title={A higher-dimensional Contou-Carr{\`e}re symbol: local theory},
  author={S. Gorchinskiy and Denis Vasilievich Osipov},
  journal={Sbornik: Mathematics},
  year={2015},
  volume={206},
  pages={1191 - 1259}
}
We construct a higher-dimensional Contou-Carrère symbol and we study some of its fundamental properties. The higher-dimensional Contou-Carrère symbol is defined by means of the boundary map for -groups. We prove its universal property. We provide an explicit formula for the higher-dimensional Contou-Carrère symbol over and we prove the integrality of this formula. We also study its relation with the higher-dimensional Witt pairing. Bibliography: 46 titles. 
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16 Citations
Background Citations
3
Methods Citations
2

16 Citations

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